On the cyclicity of a 2-polycycle for quadratic systems

Maoan Han and Cheng Yang

Chaos, Solitons & Fractals, 2005, vol. 23, issue 5, 1787-1794

Abstract: It has been already known that the maximum number of limit cycles near a homoclinic loop of a quadratic Hamiltonian system under quadratic perturbations is two. However, the problem of finding the maximum number of limit cycles in the 2-polycycle case is still open. This paper addresses the problem in some detail and solves it partially.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:23:y:2005:i:5:p:1787-1794

DOI: 10.1016/j.chaos.2004.07.008

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